Now, you're mathmos , you're really good , I know, you're really good at these second steps. The thing that you will struggle with is the first step. Given some physical situation , how do you write down the equations that, uh, describe it. Even the most able of you will struggle with this, um, even if you understand the lectures perfectly. You pick, pick up this, how to write down the equations in the first place, by osmosis , right, which means by trying a lot of different examples . And so your examples sheets are going to be crucial in this course. Um, it's funny , there's gonna be a struggle , even for the most able mathematician in this room, she's gonna have, have to ask her supervisor , um, about some of the questions . Many of my colleagues , uh, in the Department of Applied Maths and Theoretical Physics, actually did physics degrees instead of mathematics degrees, so we're not as good as you, probably, at solving equations . But this particular bit, we do get a lot of practice in, of this writing down the equations . When you do a physics degree, you have three years of that basically. So, um, you pick up different skills depending on, of course, depending on which degree, uh, you're doing. But the examples sheets for this course, are the first time, um, this year , this academic year , that you'll have an opportunity to learn these skills. So in this, your tutors in your college, they're absolutely key , and they will be, uh, your tutor is your beacon and will guide your way. Struggle with the sheets and learn from them, is my advice.

TotientQuotient